A388085 Decimal expansion of exp(-Pi/12) * 2^(3/4) * Gamma(3/4)^2 / sqrt(Pi).

1, 0, 9, 6, 6, 4, 7, 6, 7, 4, 1, 5, 4, 1, 1, 2, 4, 0, 9, 5, 7, 2, 4, 1, 2, 9, 7, 9, 7, 5, 9, 2, 8, 6, 5, 6, 8, 9, 0, 1, 9, 7, 1, 8, 8, 4, 3, 9, 4, 2, 0, 8, 3, 6, 1, 7, 1, 0, 3, 3, 0, 7, 7, 8, 5, 0, 9, 5, 1, 3, 8, 9, 3, 9, 8, 8, 2, 2, 6, 2, 6, 3, 8, 3, 5, 4, 5

Offset

1,3

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A000712(k) / exp(k*Pi).

Example

1.0966476741541124095724129797592865689...

Mathematica

First[RealDigits[(2^(3/4)*Exp[-1/12*Pi]*Gamma[3/4]^2)/Sqrt[Pi], 10, 100]]

Prog

(PARI) exp(-1/12 * Pi) / Pi^(1/2) * 2^(3/4) * gamma(3/4)^2

Crossrefs

Cf. A000712.

Sequence in context: A195365 A092513 A388095 * A388108 A381155 A260315

Adjacent sequences: A388082 A388083 A388084 * A388086 A388087 A388088

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved